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Q.

120 men got food provision for 200 days. After 5 days, 30 men died due to an epidemic. How long would their remaining food last ?


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a

120

b

260

c

270

d

220 

answer is B.

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Detailed Solution

Concept: We will find the total food requirement and total food availability, and let the required food consumption of an individual person per day be x, then  after finding the food consumed by 120 people in 5 days, we will find the remaining food and the new food consumption rate.
Let the required food per person per day =x
Therefore, required food for 120 people for 1 day =120×x
                                                                                =120x
Given that, food is available for 200 days for 120 people.
⇒Total available food =120x×200
⇒Total available food =24000x
Since, there were 120 men alive in first 5 days so that food consumed in 5 days = food required for each person per day×number of days×number of person
⇒120 men alive in first 5 days so that food consumed in 5 days =x×5×120
⇒120 men alive in first 5 days so that food consumed in 5 days =600x
Food left after 5 days = total available food-total consumed food
                                   =24000x-600x
                                   =23400x
As, 30 people died after 5 days, remaining people =120-30=90
Food required for 90 people for 1 day =90x
Number of days food can be consumed for 90 people =food leftfood consumption per day
  =23400x90x    =260 days
Remaining food will last for another 260 days.
Hence, the correct answer is option (2).
 
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